In order to solve the problem that continuity equation is not available on pressed surface, we replace the viscosity parts in Poisson equation and shallow water momentum equation with mass continuity equatioa The change makes the results much more stable and satisfy the conservation of mass.

The distributions of diabatic heating rate estimated from integration of the isentropic mass continuity equation show that heating influences the upper-level divergence directly and the low-level vortex subsequently.

The mass continuity equations of incompressible fluid are eliminated by the introduction ofthe penalty function method so that the computing time is shortened.

The results of numerical calculation show that the saltwater intrusion produces a salinity front, there exists a land-ward density induced current under the salinity front, and the current speed at the upper layer increases remarkably due to mass continuity through the transverse section.

In order to study how the flexible rubber pipe suppresses the pulsation of the fluid in it ,the wave equation is derived for the pressure waves inside the flexible rubber pipe by considering the mass continuity equation, the momentum equaiton and the radial impedance of the flexible rubber pipe wall.

That in turn determines the radial motion from the mass continuity equation.

On the basis of the differential equations of fluid momentum and mass continuity, the distribution pressure function is derived by taking oil film inertia force into consideration.

Numerical solutions of energy and the vapour mass continuity equations have been carried out using the alternate direction implicit scheme of finite difference method.

Within the eruption column, the vertical and horizontal velocity fields can be calculated from exprimental and theoretical studies and consideration of mass continuity.

The simulated flow fields are shown to exhibit the input spatial correlation structure and observe mass continuity.

In this paper a method is presented for analyzing the dynamic response of a buried frame structure subjected to a blast moving wave load of a transient nature. The structure is studied from the standpoint that it is a continuous system in elastic earth medium and having a distributed mass. Detailed investigation has been carried out on the rigid body motion of the underground closed frame under unsymmetrical moving wave loadings, and an extensive description of the analytical procedures has been given. Time...

In this paper a method is presented for analyzing the dynamic response of a buried frame structure subjected to a blast moving wave load of a transient nature. The structure is studied from the standpoint that it is a continuous system in elastic earth medium and having a distributed mass. Detailed investigation has been carried out on the rigid body motion of the underground closed frame under unsymmetrical moving wave loadings, and an extensive description of the analytical procedures has been given. Time depending relations for deflection and moment have been developed. The numerical solution of these quantities can readily be solved by a digital computer.

In this paper analytic solutions for the natural frequency and mode of an oneway continuous four-sides supported rectangular ortothropic elastic plate with added masses and the steady response of the plate with complex damping under harmonic excitation are presented. The reaction of beams and added masses as well as con centrated forces are treated by means of Dirac δ function. The analytic solution is derived by means of finite Fourier transform. The solution thus obtained is a double trigonometric series and...

In this paper analytic solutions for the natural frequency and mode of an oneway continuous four-sides supported rectangular ortothropic elastic plate with added masses and the steady response of the plate with complex damping under harmonic excitation are presented. The reaction of beams and added masses as well as con centrated forces are treated by means of Dirac δ function. The analytic solution is derived by means of finite Fourier transform. The solution thus obtained is a double trigonometric series and it is simplified by summing up as a single series. The solution can be used for various supporting conditions taking care of the torsional rigidity of the supports and the beams.The solution is superior to the energy method. In the latter method the mode of vibration has to be assumed, which usually leads to some errors. For some special cases such as non-uniform spans, odd supporting conditions or those with large added masses, the error will likely be more serious.Some computational results are given and compared with the results of energy method and experiment. The results of the solution presented in this paper agrees well with the experimental results. Practically in computation only a few terms of the series are required for engineering accuracy.

The analytical expression of NusseJt Number is obtained by direct integration of the differential equations of momentum, energy and mass in circular tubes, with the application of equations of eddy viscosity e0/v and the ratio of the eddy diffusivities mn = αt/∈α, which were published in recent-years. Petukhov's Nusselt number expressions have been compared with the Nusselt number expression derived. The maximal deviation is found to be less than 7%. This Nusselt number expression can also apply to metal liquids...

The analytical expression of NusseJt Number is obtained by direct integration of the differential equations of momentum, energy and mass in circular tubes, with the application of equations of eddy viscosity e0/v and the ratio of the eddy diffusivities mn = αt/∈α, which were published in recent-years. Petukhov's Nusselt number expressions have been compared with the Nusselt number expression derived. The maximal deviation is found to be less than 7%. This Nusselt number expression can also apply to metal liquids with very low Pr number.